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Finite spaces and the universal bundle of a group

Peter Witbooi (1997)

Commentationes Mathematicae Universitatis Carolinae

We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal G -bundle of a finite group G , and the classifying space is modeled by locally finite spaces. In particular, if G is finite, then the universal G -bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.

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